We analyze the emergence of a minimal length for a large class of generalized commutation relations, preserving commutation of the position operators and translation invariance as well as rotation invariance (in dimension higher than one). We show that the construction of the maximally localized states based on squeezed states generally fails. Rather, one must resort to a constrained variationa...

Brushless Direct Current (BLDC) motors are widely used due to high reliability, simple frame, straight forward control, and low friction. BLDC motor has the advantage of high speed adjusting performance and high power density. Speaking of the motor drive control, the most important part is commutation control. On the other hand, they show a high torque ripple characteristics caused by nonideal ...

Brushless Direct Current (BLDC) motors are widely used due to high reliability, simple frame, straight forward control, and low friction. BLDC motor has the advantage of high speed adjusting performance and power density. Speaking of the motor drive, the most important part is commutation control. On the other hand, they show a high torque ripple characteristics caused by no ideal commutation c...

We derive a representation for lattice U(1) gauge theory with exponential convergence in the number of states used to represent each site that is applicable at all values coupling. At large coupling, this equivalent Kogut-Susskind electric representation, which known provide good description region. small our approach adjusts maximum magnetic field represented digitization as regime low-lying e...

The gauge connections corresponding to electromagnetism, YangMills theory and Einstein gravity can be derived by assuming specific commutation relations between the phase-space variables of a first quantized theory. Extending the procedure to noncommuting coordinates leads to new types of dynamics, which are explored. In particular, the conditions for the coexistence of an electromagnetic backg...

The differential equations for a continuous birepresentation of a local analytic Moufang loop are established. The commutation relations for the infinitesimal operators of the birepresentation are found. These commutation relations can be seen as a (minimal) generalization of the Maurer-Cartan equations and do not depend on the particular birepresentation. 2000 MSC: 20N05, 17D10

We provide a comprehensive treatment of the single and double commutation method as a tool for constructing soliton solutions of the Toda and Kac-van Moerbeke hierarchy on arbitrary background. In addition, we present a novel construction based on the single commutation method. As an illustration we compute the N -soliton solution of the Toda and Kac-van Moerbeke hierarchy.